Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 113604: Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ?
Click here to see answer by ankor@dixie-net.com(15659)   |
Question 113676: Could someone please help me with this problem.
A rectangular picture frame is 5 inches higher than it is wide and has an area of 126 square inches. Write an equation whose solution is the width of the picture frame. Use factoring to solve the equation and find the Dimensions of the frame.
Click here to see answer by josmiceli(9697)  |
Question 113765: The length of a rectangle is 3cm more than 2 times the width. If the area of the rectangle is 99 cm^2, find the dimensions of the rectangle to the nearest thousandth.
The equation I got from this is:
x(2x+3)=99
I have worked it to this point, and gotten stuck.
2x^2+3x=99
2x^2+3x-99=0
I am not sure what to do after this. I have tried to factor this, but am not able to. What do I do now?
Click here to see answer by checkley71(8403) |
Question 113707: Could someone help me out with this problem.
A box is made from a sheet of metal. The box has no top. Equal size squares measuring 4 inches can be cut from the corners so that the remaining metal can be folded up into a box with no top. The length of the box is twice the width of the box and the volume of the resulting box is 936 inches cubed. write an equation with one variable representing the volume of the box. What are the dimensions of the sheet of metal? What are the dimensions of the box
Click here to see answer by checkley71(8403) |
Question 113832: hey,
could answer this question for me.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found the x-symmetry which is -3+5= 2/2 = 1
Therefore x=1
but i did get how to find the y value
could u please solve it to me and send it back.
i will be waiting.
thank you,
Click here to see answer by stanbon(57377) |
Question 113832: hey,
could answer this question for me.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found the x-symmetry which is -3+5= 2/2 = 1
Therefore x=1
but i did get how to find the y value
could u please solve it to me and send it back.
i will be waiting.
thank you,
Click here to see answer by edjones(7569)  |
Question 113899: Hi
I am having great difficulty trying to solve the following:-
I have tried puting the equation for the first part of the problem into my TI-83 graphing calculator..but I cannot find a proper solution .. in fact I have tried all I can think of, this problem is causing me to fall behind with my work.
I have seen many examples of how to solve the problem for a rocket ..the fact that this is a two stage rocket..is causing me to not be able to solve it
I have spent ages trying to work out the way to program my TI-83 calculator to solve the following... I would appreciate guidance or direction to a site that can show me how to solve the following;-
the motion of two stage rocket is stated by it height y in metres above the ground since t seconds since launch.
Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under gravity alone.
modelled by the equations
Stage 1 height y = 10t2
time 0< t <5
stage 2 height y = - 5t2 + 150t - 375
time t >5
Question asks you plot function on ti 83, using an appropriate window for time(s)
hence sketch a position time graph for each stage of flight adding labels etc..
also ask you to plot use the n deriv function to plot rate of change of function.
If I can find the basic means of plotting graph I should be able to answer the question but cannot find anything in manual that is similar to solving a question of this type.
I appreciate yout time and effort and thanks !!!!!!!!
Click here to see answer by amylouise93(2) |
Question 113899: Hi
I am having great difficulty trying to solve the following:-
I have tried puting the equation for the first part of the problem into my TI-83 graphing calculator..but I cannot find a proper solution .. in fact I have tried all I can think of, this problem is causing me to fall behind with my work.
I have seen many examples of how to solve the problem for a rocket ..the fact that this is a two stage rocket..is causing me to not be able to solve it
I have spent ages trying to work out the way to program my TI-83 calculator to solve the following... I would appreciate guidance or direction to a site that can show me how to solve the following;-
the motion of two stage rocket is stated by it height y in metres above the ground since t seconds since launch.
Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under gravity alone.
modelled by the equations
Stage 1 height y = 10t2
time 0< t <5
stage 2 height y = - 5t2 + 150t - 375
time t >5
Question asks you plot function on ti 83, using an appropriate window for time(s)
hence sketch a position time graph for each stage of flight adding labels etc..
also ask you to plot use the n deriv function to plot rate of change of function.
If I can find the basic means of plotting graph I should be able to answer the question but cannot find anything in manual that is similar to solving a question of this type.
I appreciate yout time and effort and thanks !!!!!!!!
Click here to see answer by jim_thompson5910(28598) |
Question 113917: hey,
could u please solve this equation.
find the quadratic relation in vertex form that has zeros -3 and 5 and passes through (3,6).
i found x-value which is the axis of symmetry -3+5= 2/2 = 1
Therefore x=1
but i could not find the y-value
Please could u sovle it and send me back.
i will be waithing,
thank you,
Click here to see answer by jim_thompson5910(28598) |
Question 113995: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 miles upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?
D= rt upriver - 9r = 60 still water - 3rt = 60
Have I set this equation up correctly? Where do I go from here? Please help me.
Click here to see answer by jim_thompson5910(28598) |
Question 113995: The Hudson River flows at a rate of 3mph. A patrol boat travels 60 miles upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?
D= rt upriver - 9r = 60 still water - 3rt = 60
Have I set this equation up correctly? Where do I go from here? Please help me.
Click here to see answer by checkley71(8403) |
Question 114059: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by josmiceli(9697) |
Question 113945: I am having trouble figuring out how to turn these wrod problems into quadratic equations. Can anyone help?
1). a designemr attempting to arranfe the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short 25 characters. Can you find the number of characters used by the designer? I know that he has 600 characters but, I'm not sure how to transform it into a quadratic equation.
2). Some students planned for a get-together. The budget for food was $500. Five of the students failed to come, and therefore the cost of food for each member increased by $5. How many students attended the get-together? I know that 20 students attended, but don't know how to set up the quadratic equation.
Click here to see answer by ankor@dixie-net.com(15659) |
Question 114055: A designer attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer.
Click here to see answer by ankor@dixie-net.com(15659) |
Question 114094: A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
Click here to see answer by edjones(7569) |
Question 111127: Please solve for x
3(x-6)=2(x+2)
I am having for difficulties w/ this equation....the following is what I have come up with can you please help me.
3(x-6)=2(x+2)
But I cant get any further...THank you so much for your help!!!!
Click here to see answer by alexander164(3) |
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